Title:
Persistence of Hyperbolic Tori in Hamiltonian Systems
Persistence of Hyperbolic Tori in Hamiltonian Systems
| dc.contributor.author | Li, Yong | |
| dc.contributor.author | Yi, Yingfei | |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Mathematics | |
| dc.contributor.corporatename | Jilin University. Dept. of Mathematics | |
| dc.date.accessioned | 2009-08-10T17:25:54Z | |
| dc.date.available | 2009-08-10T17:25:54Z | |
| dc.date.issued | 1999 | |
| dc.description | 1991 Mathematics Subject Classification. 37J40. | en |
| dc.description.abstract | We generalize the well-known result of Graff and Zehnder on the persistence of hyperbolic invariant tori in Hamiltonian systems by considering non-Floquet, frequency varying normal forms and allowing the degeneracy of the unperturbed frequencies. The preservation of part or full frequency components associated to the degree of non-degeneracy is considered. As applications, we consider the persistence problem of hyperbolic tori on a submanifold of a nearly integrable Hamiltonian system and the persistence problem of a fixed invariant hyperbolic torus in a non-integrable Hamiltonian system. | en |
| dc.description.sponsorship | The first author is partially supported by NSFC 19971042, National 973 Key Project of China: Nonlinearity, the outstanding young's project of Ministry of Education of China, and National outstanding young's award of China. The second author was partially supported by NSF grant DMS0204119. | en |
| dc.identifier.uri | http://hdl.handle.net/1853/29493 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.relation.ispartofseries | CDSNS99-349 | en |
| dc.subject | Hamiltonian systems | en |
| dc.subject | Hyperbolicity | en |
| dc.subject | Invariant tori | en |
| dc.subject | KAM theory | en |
| dc.title | Persistence of Hyperbolic Tori in Hamiltonian Systems | en |
| dc.type | Text | |
| dc.type.genre | Pre-print | |
| dspace.entity.type | Publication | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Mathematics | |
| relation.isOrgUnitOfPublication | 85042be6-2d68-4e07-b384-e1f908fae48a | |
| relation.isOrgUnitOfPublication | 84e5d930-8c17-4e24-96cc-63f5ab63da69 |